63241733001216 has 832 divisors, whose sum is σ = 223974108481536. Its totient is φ = 15364679270400.

The previous prime is 63241733001211. The next prime is 63241733001283. The reversal of 63241733001216 is 61210033714236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63241733001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2621841636 + ... + 2621865756.

Almost surely, 2^{63241733001216} is an apocalyptic number.

63241733001216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63241733001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111987054240768).

63241733001216 is an abundant number, since it is smaller than the sum of its proper divisors (160732375480320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63241733001216 is a wasteful number, since it uses less digits than its factorization.

63241733001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24346 (or 24324 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

It can be divided in two parts, 632417 and 33001216, that added together give a palindrome (33633633).

The spelling of 63241733001216 in words is "sixty-three trillion, two hundred forty-one billion, seven hundred thirty-three million, one thousand, two hundred sixteen".